Abstract
In [8] J. Laird has shown that an infinitary sequential extension of PCF has a fully abstract model in his category of locally boolean domains (introduced in [10] ). In this paper we introduce an extension SPCF ∞ of his language by recursive types and show that it is universal for its model in locally boolean domains.
Finally we consider an infinitary target language CPS ∞ for (the) CPS translation (of[18] ) and show that it is universal for a model in locally boolean domains which is constructed like Dana Scott’s D ∞ where \(D = \{\bot,\top\}\).
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Löw, T., Streicher, T. (2006). Universality Results for Models in Locally Boolean Domains. In: Ésik, Z. (eds) Computer Science Logic. CSL 2006. Lecture Notes in Computer Science, vol 4207. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11874683_30
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DOI: https://doi.org/10.1007/11874683_30
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-45458-8
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